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nlin.AO2008
Extinction of Populations and the Schrödinger Equation: Analytic Calculations for Abrupt Transitions
Niraj Kumar, V. M. Kenkre
We study bifurcations in a spatially extended nonlinear system representing population dynamics with the help of analytic calculations based on the time-independent Schrödinger equ…
nlin.AO2008
Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic
Niraj Kumar, M. N. Kuperman, V. M. Kenkre
We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. We replace Fisher-like equations that have been recently…
nlin.AO2008★ 33 cited
Nonlinearity in Bacterial Population Dynamics: Proposal for Experiments for the Observation of Abrupt Transitions in Patches
V. M. Kenkre, Niraj Kumar
An explicit proposal for experiments leading to abrupt transitions in spatially extended bacterial populations in a Petri dish is presented on the basis of an exact formula obtaine…